Lesson plan

# 4. Use graphs to solve systems (FP)

teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8a http://corestandards.org/Math/Content/8/EE/C/8/a
teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8b http://corestandards.org/Math/Content/8/EE/C/8/b
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Lesson objective: Solve systems of equations by using a graph.

This lesson helps to build procedural skill with graphing and solving systems of equations. A graph is used here because it supports a visual understanding of a solution to a system of equation. This work develops students' understanding that a point of intersection is an ordered pair that makes both equations true in a system of equations.

Students engage in Mathematical Practice 4 (model with mathematics) as they model a system of equations with a graph or use the graph of a system of equations to identify a solution.

Key vocabulary:

• coinciding
• infinitely many
• intersection
• ordered pair
• parallel
• slope
• y-intercept

Special materials needed:

• Graph paper and/or graphing technology